Some friends said Mr. Kushner and his wife were at times so discouraged by their brief White House careers — and their shrinking social circle — that they would leap at a chance to gracefully return to New York. At one point this fall, a scenario circulated in which Ms. Trump could replace Nikki R. Haley as ambassador to the United Nations if Ms. Haley replaced Secretary of State Rex W. Tillerson. (Aides to Mr. Trump said they never heard that discussed internally, and the latest betting now has Ms. Haley staying put.)

The Times details Jared Kushner’s fall from grace after the firing of former Chief of Staff Reince Priebus, who basically let Kushner do whatever he wanted:

At a senior staff meeting early in President Trump’s tenure, Reince Priebus, then the White House chief of staff, posed a simple question to Jared Kushner: What would his newly created Office of American Innovation do?
Mr. Kushner brushed him off, according to people privy to the exchange. Given that he and his top lieutenants were paid little or nothing, Mr. Kushner asked, “What do you care?” He emphasized his point with an expletive.
“O.K.,” Mr. Priebus replied. “You do whatever you want.”

Kelly, as the Times reports, has been telling Kushner he needs to operate within the White House chain of command.

And apparently, three advisers to President Trump said Kelly has even gone so far as to talk about “the possibility of Mr. Kushner and his wife, Ivanka Trump, departing the West Wing by the end of the year.”